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3 years ago

Twelve cubes are stacked to make this figure

Mathematics

2 answers:

stealth61 [152]3 years ago

8 0

Answer:

rectangular prism

Step-by-step explanation:

irga5000 [103]3 years ago

8 0

Answer:

rectangular prism

Step-by-step explanation:

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PLS HELP I DONT UNDERSTAND :( WILL MARK BRAINLIEST!!!

ArbitrLikvidat [17]

Answer:C

Step-by-step explanation:

3 0

3 years ago

Find f-1(x), if f(x) = 3x – 6. Justify your

Sergio039 [100]

Answer: 1/3 (x + 6)

Explanation: given f(x) = 3x - 6.
Let y = f(x) and so y = 3x - 6.
Trade places between x and y.
x = 3y - 6
Solve for y
x + 6 = 3y
y = x + 6/3
Now the new y is the inverse and so y = f-1(x)
f-1(x) = 1/3(x + 6)

4 0

3 years ago

Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

7 0

1 year ago

Order the functions from narrowest graph to widest graph.

Nonamiya [84]

Djjdjdjdjdjsksjdjjdjdjdjdjdjdndndnndndjd

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3 years ago

James Harmon pays $850.80 per year for his life insurance. If Mr. Harmon were to pay the premiums monthly, the payments would be

Deffense [45]

Answer:

8.0%

Step-by-step explanation:

We have been given that James Harmon pays $850.80 per year for his life insurance. If Mr. Harmon were to pay the premiums monthly, the payments would be $76.57.

First of all, we will find the amount paid for the year using the monthly rate by multiplying $76.57 by 12 (1 year = 12 months).

$\text{Amount paid for the year using the monthly rate}=\$76.57\times 12$